{"id":"https://openalex.org/W2163935885","doi":"https://doi.org/10.1093/jigpal/jzr017","title":"Solving stochastic programming problems using modified differential evolution algorithms","display_name":"Solving stochastic programming problems using modified differential evolution algorithms","publication_year":2011,"publication_date":"2011-02-08","ids":{"openalex":"https://openalex.org/W2163935885","doi":"https://doi.org/10.1093/jigpal/jzr017","mag":"2163935885"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzr017","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzr017","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of IGPL","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111972469","display_name":"R. Thangaraj","orcid":null},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":false,"raw_author_name":"R. Thangaraj","raw_affiliation_strings":["Faculty of Science, Technology and Communications, University of Luxembourg, rue Richard Coudenhove-Kalergi, Luxembourg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science, Technology and Communications, University of Luxembourg, rue Richard Coudenhove-Kalergi, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081953081","display_name":"Millie Pant","orcid":"https://orcid.org/0000-0002-7668-7887"},"institutions":[{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. Pant","raw_affiliation_strings":["Department of Paper Technology, Indian Institute of Technology Roorkee, Saharanpur, Uttar Pradesh, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Paper Technology, Indian Institute of Technology Roorkee, Saharanpur, Uttar Pradesh, India","institution_ids":["https://openalex.org/I154851008"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058311932","display_name":"Pascal Bouvry","orcid":"https://orcid.org/0000-0001-9338-2834"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":false,"raw_author_name":"P. Bouvry","raw_affiliation_strings":["Faculty of Science, Technology and Communications, University of Luxembourg, rue Richard Coudenhove-Kalergi, Luxembourg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science, Technology and Communications, University of Luxembourg, rue Richard Coudenhove-Kalergi, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087542455","display_name":"Ajith Abraham","orcid":"https://orcid.org/0000-0002-0169-6738"},"institutions":[{"id":"https://openalex.org/I4210107658","display_name":"Machine Intelligence Research Labs","ror":"https://ror.org/013kgb629","country_code":"US","type":"facility","lineage":["https://openalex.org/I4210107658"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Abraham","raw_affiliation_strings":["Machine Intelligent Research Labs (MIR Labs), Scientific Network for Innovation and Research Excellence, Seattle, Washington, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Machine Intelligent Research Labs (MIR Labs), Scientific Network for Innovation and Research Excellence, Seattle, Washington, USA","institution_ids":["https://openalex.org/I4210107658"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.6508,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.78725088,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"20","issue":"4","first_page":"732","last_page":"746"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10969","display_name":"Water resources management and optimization","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9819999933242798,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.693414568901062},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.6384899616241455},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.614736020565033},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.542888343334198},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5085717439651489},{"id":"https://openalex.org/keywords/fractional-programming","display_name":"Fractional programming","score":0.4648531675338745},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45547863841056824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4515508711338043},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4503322243690491},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.44338953495025635},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.42529916763305664},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.2711926996707916},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1043873131275177},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07561305165290833}],"concepts":[{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.693414568901062},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.6384899616241455},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.614736020565033},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.542888343334198},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5085717439651489},{"id":"https://openalex.org/C169069869","wikidata":"https://www.wikidata.org/wiki/Q5477546","display_name":"Fractional programming","level":4,"score":0.4648531675338745},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45547863841056824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4515508711338043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4503322243690491},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.44338953495025635},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.42529916763305664},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.2711926996707916},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1043873131275177},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07561305165290833},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/jigpal/jzr017","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzr017","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of IGPL","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.188.5538","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.188.5538","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.softcomputing.net/logic2011b.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320885","display_name":"European Research Consortium for Informatics and Mathematics","ror":"https://ror.org/055zrhj18"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W202470279","https://openalex.org/W1576426930","https://openalex.org/W1595159159","https://openalex.org/W1990984428","https://openalex.org/W1991005468","https://openalex.org/W1992672955","https://openalex.org/W1998674867","https://openalex.org/W2001516476","https://openalex.org/W2003285839","https://openalex.org/W2038407338","https://openalex.org/W2066691774","https://openalex.org/W2077242353","https://openalex.org/W2083955576","https://openalex.org/W2104310527","https://openalex.org/W2129587297","https://openalex.org/W2162994357","https://openalex.org/W2169143828","https://openalex.org/W3137715965"],"related_works":["https://openalex.org/W2182614003","https://openalex.org/W4254717236","https://openalex.org/W2377757044","https://openalex.org/W3180876591","https://openalex.org/W4205896566","https://openalex.org/W3160952126","https://openalex.org/W2518557062","https://openalex.org/W4205348974","https://openalex.org/W2382905498","https://openalex.org/W2320103255"],"abstract_inverted_index":{"Stochastic":[0,81,87],"(or":[1],"probabilistic)":[2],"programming":[3],"(SP)":[4],"is":[5,42,119],"an":[6,18],"optimization":[7,19,110],"technique":[8],"in":[9,135,141],"which":[10],"the":[11,14,45,96,102,113,122,127,132,138,142],"constraints":[12],"and/or":[13],"objective":[15,40],"function":[16],"of":[17,27,76,104,129,131],"problem":[20,134],"contain":[21],"random":[22,53],"variables.":[23],"The":[24,39,91],"mathematical":[25],"models":[26,75],"these":[28],"problems":[29,78],"may":[30],"follow":[31],"any":[32],"particular":[33],"probability":[34],"distribution":[35],"for":[36,48,70],"model":[37,49],"coefficients.":[38],"here":[41],"to":[43],"determine":[44],"proper":[46],"values":[47],"parameters":[50],"influenced":[51],"by":[52,95],"events.":[54],"In":[55],"this":[56],"study,":[57],"two":[58],"modified":[59],"differential":[60],"evolution":[61],"(DE)":[62],"algorithms":[63,98,124],"namely,":[64],"LDE1":[65],"and":[66,85,112],"LDE2":[67],"are":[68,79,99],"used":[69],"solving":[71],"SP":[72,77],"problems.":[73],"Two":[74],"considered;":[80],"Fractional":[82],"Programming":[83,89],"Problems":[84],"Multiobjective":[86],"Linear":[88],"Problems.":[90],"numerical":[92],"results":[93,103,115,140],"obtained":[94],"LDE":[97,123],"compared":[100],"with":[101,137],"basic":[105,107],"DE,":[106],"particle":[108],"swarm":[109],"(PSO)":[111],"available":[114],"from":[116],"where":[117],"it":[118],"observed":[120],"that":[121],"significantly":[125],"improve":[126],"quality":[128],"solution":[130],"considered":[133],"comparison":[136],"quoted":[139],"literature.":[143]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}